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11003020000 = 2554778593
BaseRepresentation
bin10100011111101010…
…01100001011100000
31001101211010022220021
422033311030023200
5140013233120000
65015452523224
7536444061340
oct121765141340
931354108807
1011003020000
114736a10865
122170a80514
13106474412b
14765458d20
15445e8911a
hex28fd4c2e0

11003020000 has 120 divisors (see below), whose sum is σ = 30936484656. Its totient is φ = 3772416000.

The previous prime is 11003019977. The next prime is 11003020009. The reversal of 11003020000 is 2030011.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11003020009) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 100704 + ... + 179296.

Almost surely, 211003020000 is an apocalyptic number.

11003020000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11003020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15468242328).

11003020000 is an abundant number, since it is smaller than the sum of its proper divisors (19933464656).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11003020000 is an frugal number, since it uses more digits than its factorization.

11003020000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78630 (or 78607 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

Adding to 11003020000 its reverse (2030011), we get a palindrome (11005050011).

The spelling of 11003020000 in words is "eleven billion, three million, twenty thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 70 80 100 112 125 140 160 175 200 224 250 280 350 400 500 560 625 700 800 875 1000 1120 1250 1400 1750 2000 2500 2800 3500 4000 4375 5000 5600 7000 8750 10000 14000 17500 20000 28000 35000 70000 78593 140000 157186 314372 392965 550151 628744 785930 1100302 1257488 1571860 1964825 2200604 2514976 2750755 3143720 3929650 4401208 5501510 6287440 7859300 8802416 9824125 11003020 12574880 13753775 15718600 17604832 19648250 22006040 27507550 31437200 39296500 44012080 49120625 55015100 62874400 68768875 78593000 88024160 98241250 110030200 137537750 157186000 196482500 220060400 275075500 314372000 343844375 392965000 440120800 550151000 687688750 785930000 1100302000 1375377500 1571860000 2200604000 2750755000 5501510000 11003020000